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Finding the Fourth Proportional to 421,586.74, 632,381.19 and 172,268.74

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Solution

The fourth proportional to 421,586.74, 632,381.19 and 172,268.74 is: 258,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,586.74 : 632,381.19 = 172,268.74 : x
  2. Step 2: Convert to fraction form
    421,586.74/632,381.19 = 172,268.74/x
  3. Step 3: Cross multiply
    421,586.74x = 632,381.19 × 172,268.74
  4. Step 4: Simplify right side
    421,586.74x = 108,939,510,801.00
  5. Step 5: Solve for x
    x = 108,939,510,801.00/421,586.74
  6. Step 6: Final answer
    x = 258,403.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.